Rana Sardar

collaborators

3 papers

math.GR2026

On 2-Sphere Bowditch Boundaries Attaining Conformal Dimension

Abhijit Pal, Rana Sardar

Bonk and Kleiner proved that if $G$ is a Gromov hyperbolic group whose boundary $\partial_{\infty} G$ is homeomorphic to an Ahlfors $Q$ -regular metric $2$ -sphere $Z$ , and the Ahlfor…

math.GT2026

A Characterization of Relative Hyperbolicity via Morse and Contracting Boundaries

Vyshnav PT, Pranab Sardar, Rana Sardar

We prove the following boundary-theoretic characterization of relatively hyperbolic groups. Let $G$ be a finitely generated group with a finite collection $H$ of finitely…

math.GT2025

Quasiconformal Maps between Bowditch Boundaries of Relatively Hyperbolic Groups

Rana Sardar

Classifying finitely generated groups up to quasi-isometry is a central problem in geometric group theory. In the context of hyperbolic and relatively hyperbolic groups, one of the…